It is not as though I expected the calculations we do on our homework to be different from the way astronomers really solve problems (I did get a feeling that Prof. Siana wrote the homework so that we got a feel for the way astronomers actually figure these things out), but I was a bit surprised that a method we used to solve a problem was used so recently on something that I would think would have been well documented for some time. It turns out that measurement of the diameter of the Sun are much harder to make than one might think. For one thing, we are looking through our atmosphere and have the problem of seeing if we make the measurement from Earth. Also, telescopes are hard to calibrate in order to measure the Sun with such great accuracy as was obtained using our simple homework problem method.
If you recall, on homework assignment 5, we used data from the Kepler spacecraft to measure the diameter of a star with an orbiting planet. This is what astronomers did using SOHO (Solar and Heliospheric Observatory), a telescope fixed in orbit around the Sun at L1 (the 1st Lagrangian point). Now, there is a slight difference in the ways these two different telescopes made these measurements. The Kepler measurement of the distant star was based on flux, white the SOHO measurement is based on taking images and being able to actually see the planet, in this case Mercury.
Now, even though we have known to great accuracy the diameter of the Sun for some time, this new measurement is the most accurate to date. The Sun is 1,392,684 +/- 65 km in diameter. This equates to an accuracy of 99.995%!
Now you may notice from this picture that the line Mercury traces out is not the diameter. An easy fix! The time Mercury was in front of the Sun was measured to an accuracy to within 3 seconds and to within 1 second, in two different years. This combined with Mercury's well known orbit and some simple trig, figuring out the diameter was not hard.
For more information, follow the Bad Astronomy link from our Phys 111 blog home page or go to:
http://blogs.discovermagazine.com/badastronomy/2012/03/21/the-sun-is-1392684-65-km-across/